论文部分内容阅读
文[1]给出数列{(1+(1/n))n}与{(1+1/n)n+1}的单调性的新证,并结合2008年湖南理科压轴题作如下探究:研究数列{(1+1/n)n+a}(其中a为实数)的单调性,得出如下单调完备性定理:
The article [1] gives a new evidence of the monotonicity of the sequence {(1+ (1 / n)) n} and {(1 + 1 / n) n + 1} and explores the following with the 2008 Hunan Science Finale : Investigate the monotonicity of the sequence {(1 + 1 / n) n + a} (where a is a real number), yield the monotone completeness theorem as follows: